Q: What are the prime factors of the number 52,312,797?

 A: 3, 215279

Why are those the prime factors of the number 52,312,797?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 52,312,797

52,312,797
Factor Arrows
317,437,599
Factor Arrows
35,812,533
Factor Arrows
31,937,511
Factor Arrows
3645,837
Factor Arrows
3215,279

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 215279

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 215,279 = 52,312,797

This can also be written as 35 x 215,2791 = 52,312,797

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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